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On this page are computer-accessible forms for the graph C4[ 150, 12 ] = SS[150,2].

(I) Following is a form readable by MAGMA:

g:=Graph<150|{ {72, 73}, {138, 139}, {112, 113}, {1, 3}, {72, 74}, {1, 2}, {72, 75}, {1, 5}, {137, 141}, {72, 76}, {1, 4}, {27, 30}, {25, 28}, {138, 140}, {24, 31}, {137, 142}, {26, 29}, {20, 28}, {132, 140}, {67, 75}, {71, 79}, {22, 31}, {132, 141}, {130, 139}, {64, 73}, {68, 77}, {23, 29}, {133, 143}, {129, 139}, {21, 30}, {65, 74}, {69, 78}, {16, 28}, {130, 142}, {129, 141}, {112, 124}, {18, 31}, {131, 142}, {19, 29}, {66, 76}, {17, 30}, {131, 140}, {70, 86}, {68, 85}, {135, 150}, {69, 87}, {134, 148}, {102, 116}, {107, 120}, {103, 115}, {111, 123}, {110, 122}, {109, 121}, {128, 149}, {135, 146}, {70, 80}, {134, 144}, {133, 147}, {101, 114}, {107, 115}, {104, 113}, {136, 145}, {108, 118}, {105, 114}, {111, 116}, {98, 127}, {136, 149}, {110, 115}, {108, 113}, {96, 126}, {99, 125}, {105, 119}, {106, 116}, {71, 88}, {97, 126}, {106, 117}, {109, 114}, {89, 121}, {90, 122}, {93, 125}, {94, 127}, {68, 102}, {69, 103}, {71, 101}, {84, 118}, {88, 123}, {83, 119}, {67, 102}, {65, 103}, {80, 118}, {66, 101}, {82, 117}, {91, 124}, {92, 123}, {7, 47}, {15, 39}, {13, 37}, {64, 104}, {7, 46}, {81, 120}, {6, 44}, {14, 36}, {12, 38}, {6, 45}, {87, 124}, {12, 32}, {17, 61}, {16, 60}, {13, 33}, {85, 121}, {86, 122}, {14, 35}, {19, 62}, {18, 63}, {15, 34}, {70, 104}, {8, 56}, {11, 58}, {23, 38}, {20, 37}, {9, 59}, {22, 36}, {21, 39}, {10, 57}, {76, 127}, {8, 60}, {9, 61}, {10, 63}, {11, 62}, {78, 120}, {73, 126}, {74, 125}, {8, 48}, {27, 35}, {26, 34}, {25, 33}, {10, 50}, {77, 117}, {79, 119}, {24, 33}, {27, 34}, {25, 32}, {9, 51}, {26, 32}, {23, 45}, {22, 44}, {21, 47}, {20, 46}, {11, 49}, {16, 43}, {24, 35}, {19, 40}, {18, 41}, {17, 42}, {8, 52}, {21, 41}, {20, 40}, {10, 55}, {23, 42}, {22, 43}, {11, 53}, {13, 51}, {12, 50}, {9, 54}, {15, 48}, {14, 49}, {43, 106}, {41, 107}, {42, 105}, {7, 67}, {40, 108}, {7, 66}, {6, 64}, {6, 65}, {12, 68}, {13, 69}, {14, 71}, {38, 111}, {36, 109}, {15, 70}, {37, 110}, {59, 112}, {29, 80}, {45, 96}, {28, 77}, {31, 78}, {30, 79}, {16, 67}, {55, 100}, {19, 64}, {18, 65}, {17, 66}, {57, 109}, {50, 103}, {54, 99}, {52, 97}, {58, 111}, {48, 102}, {51, 101}, {56, 110}, {39, 112}, {53, 98}, {49, 104}, {53, 108}, {59, 97}, {56, 99}, {57, 98}, {55, 107}, {61, 96}, {52, 106}, {58, 100}, {54, 105}, {60, 93}, {62, 95}, {63, 94}, {54, 84}, {55, 83}, {52, 81}, {53, 82}, {51, 91}, {48, 90}, {58, 80}, {50, 89}, {49, 92}, {44, 92}, {37, 84}, {47, 94}, {46, 95}, {44, 93}, {62, 76}, {43, 88}, {45, 89}, {59, 79}, {63, 75}, {35, 86}, {47, 90}, {46, 91}, {38, 83}, {56, 77}, {60, 73}, {36, 82}, {39, 81}, {32, 87}, {34, 85}, {57, 78}, {61, 74}, {33, 88}, {40, 87}, {42, 85}, {41, 86}, {4, 142}, {3, 143}, {5, 139}, {2, 141}, {3, 140}, {5, 149}, {2, 147}, {4, 150}, {2, 145}, {4, 144}, {3, 148}, {5, 146}, {24, 129}, {27, 130}, {26, 131}, {25, 132}, {75, 128}, {84, 135}, {81, 133}, {82, 134}, {93, 137}, {94, 138}, {95, 138}, {90, 130}, {89, 131}, {83, 136}, {92, 129}, {91, 132}, {95, 128}, {116, 149}, {113, 147}, {100, 135}, {100, 128}, {99, 134}, {119, 146}, {115, 150}, {114, 148}, {118, 144}, {98, 133}, {96, 137}, {123, 146}, {120, 145}, {97, 136}, {122, 144}, {125, 150}, {127, 148}, {124, 145}, {126, 147}, {121, 143}, {117, 143} }>;

(II) A more general form is to represent the graph as the orbit of {72, 73} under the group generated by the following permutations:

a: (1, 8)(2, 56)(3, 60)(4, 52)(5, 48)(6, 109)(7, 95)(9, 108)(10, 18)(11, 17)(12, 24)(13, 87)(14, 23)(15, 146)(16, 140)(19, 101)(20, 91)(21, 100)(22, 89)(26, 88)(27, 111)(28, 132)(29, 71)(30, 58)(31, 50)(32, 33)(34, 123)(35, 38)(36, 45)(37, 124)(39, 135)(40, 51)(41, 55)(42, 49)(43, 131)(44, 121)(47, 128)(53, 61)(54, 113)(57, 65)(59, 118)(62, 66)(64, 114)(67, 138)(68, 129)(70, 119)(72, 127)(73, 148)(74, 98)(75, 94)(77, 141)(78, 103)(79, 80)(81, 150)(82, 96)(83, 86)(84, 112)(85, 92)(90, 149)(93, 143)(97, 144)(99, 147)(102, 139)(104, 105)(106, 142)(110, 145)(115, 120)(116, 130)(117, 137)(122, 136)(125, 133)(126, 134)
b: (2, 5, 4, 3)(6, 7)(8, 10, 9, 11)(12, 13, 14, 15)(16, 18, 17, 19)(20, 22, 21, 23)(24, 27, 26, 25)(28, 31, 30, 29)(32, 33, 35, 34)(36, 39, 38, 37)(40, 43, 41, 42)(44, 47, 45, 46)(48, 50, 51, 49)(52, 55, 54, 53)(56, 57, 59, 58)(60, 63, 61, 62)(64, 67, 65, 66)(68, 69, 71, 70)(73, 75, 74, 76)(77, 78, 79, 80)(81, 83, 84, 82)(85, 87, 88, 86)(89, 91, 92, 90)(93, 94, 96, 95)(97, 100, 99, 98)(101, 104, 102, 103)(105, 108, 106, 107)(109, 112, 111, 110)(113, 116, 115, 114)(117, 120, 119, 118)(121, 124, 123, 122)(125, 127, 126, 128)(129, 130, 131, 132)(133, 136, 135, 134)(137, 138)(139, 142, 140, 141)(143, 145, 146, 144)(147, 149, 150, 148)
c: (1, 6)(2, 45, 4, 44)(3, 65, 5, 64)(8, 25, 9, 27)(10, 100, 11, 98)(12, 84, 14, 81)(13, 79, 15, 77)(16, 91, 17, 90)(18, 149, 19, 148)(20, 101, 21, 102)(22, 145, 23, 144)(24, 97, 26, 99)(28, 51, 30, 48)(29, 134, 31, 136)(32, 54, 35, 52)(33, 59, 34, 56)(36, 120, 38, 118)(37, 71, 39, 68)(40, 114, 41, 116)(42, 122, 43, 124)(46, 66, 47, 67)(49, 133, 50, 135)(53, 57, 55, 58)(60, 132, 61, 130)(62, 127, 63, 128)(69, 119, 70, 117)(72, 138)(73, 140, 74, 139)(75, 95, 76, 94)(78, 83, 80, 82)(85, 110, 88, 112)(86, 106, 87, 105)(89, 150, 92, 147)(93, 141, 96, 142)(103, 146, 104, 143)(107, 111, 108, 109)(113, 121, 115, 123)(125, 129, 126, 131)
d: (2, 4)(3, 5)(8, 9)(10, 11)(12, 14)(13, 15)(16, 17)(18, 19)(20, 21)(22, 23)(24, 26)(25, 27)(28, 30)(29, 31)(32, 35)(33, 34)(36, 38)(37, 39)(40, 41)(42, 43)(44, 45)(46, 47)(48, 51)(49, 50)(52, 54)(53, 55)(56, 59)(57, 58)(60, 61)(62, 63)(64, 65)(66, 67)(68, 71)(69, 70)(73, 74)(75, 76)(77, 79)(78, 80)(81, 84)(82, 83)(85, 88)(86, 87)(89, 92)(90, 91)(93, 96)(94, 95)(97, 99)(98, 100)(101, 102)(103, 104)(105, 106)(107, 108)(109, 111)(110, 112)(113, 115)(114, 116)(117, 119)(118, 120)(121, 123)(122, 124)(125, 126)(127, 128)(129, 131)(130, 132)(133, 135)(134, 136)(139, 140)(141, 142)(143, 146)(144, 145)(147, 150)(148, 149)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 150, 12 ]
150
-1 2 3 4 5
-2 1 145 147 141
-3 143 1 148 140
-4 1 144 150 142
-5 1 146 149 139
-6 44 45 64 65
-7 66 67 46 47
-8 56 48 60 52
-9 59 61 51 54
-10 55 57 50 63
-11 58 49 62 53
-12 68 38 50 32
-13 33 69 37 51
-14 35 36 49 71
-15 34 48 70 39
-16 67 60 28 43
-17 66 61 30 42
-18 41 63 31 65
-19 29 40 62 64
-20 46 37 28 40
-21 47 39 30 41
-22 44 36 31 43
-23 45 38 29 42
-24 33 35 129 31
-25 33 132 28 32
-26 34 29 32 131
-27 34 35 30 130
-28 77 25 16 20
-29 23 80 26 19
-30 79 27 17 21
-31 22 78 24 18
-32 12 25 26 87
-33 88 13 24 25
-34 15 26 27 85
-35 24 14 27 86
-36 22 14 82 109
-37 110 13 84 20
-38 12 23 111 83
-39 112 15 81 21
-40 19 20 108 87
-41 18 107 86 21
-42 23 17 105 85
-43 22 88 16 106
-44 22 92 93 6
-45 23 89 6 96
-46 91 7 95 20
-47 90 94 7 21
-48 90 102 15 8
-49 11 14 92 104
-50 12 89 103 10
-51 13 101 91 9
-52 81 106 8 97
-53 11 82 108 98
-54 99 105 84 9
-55 100 83 107 10
-56 77 99 110 8
-57 78 10 98 109
-58 11 100 111 80
-59 79 112 9 97
-60 16 93 73 8
-61 17 74 96 9
-62 11 95 19 76
-63 94 18 75 10
-64 104 6 73 19
-65 103 6 18 74
-66 101 17 7 76
-67 102 16 7 75
-68 77 12 102 85
-69 78 13 103 87
-70 80 15 104 86
-71 88 79 101 14
-72 73 74 75 76
-73 60 126 72 64
-74 125 61 72 65
-75 67 72 128 63
-76 66 72 127 62
-77 56 68 28 117
-78 57 69 31 120
-79 59 71 30 119
-80 58 70 29 118
-81 133 39 52 120
-82 134 36 117 53
-83 55 136 38 119
-84 135 37 118 54
-85 121 34 68 42
-86 122 35 70 41
-87 69 124 40 32
-88 33 123 71 43
-89 121 45 50 131
-90 122 47 48 130
-91 132 46 124 51
-92 44 123 49 129
-93 44 125 60 137
-94 47 127 138 63
-95 46 138 62 128
-96 45 126 137 61
-97 59 136 126 52
-98 133 57 127 53
-99 56 134 125 54
-100 55 58 135 128
-101 66 114 71 51
-102 67 68 48 116
-103 69 115 50 65
-104 113 70 49 64
-105 114 42 119 54
-106 116 117 52 43
-107 55 115 41 120
-108 113 40 118 53
-109 121 57 36 114
-110 56 122 37 115
-111 123 58 38 116
-112 113 124 59 39
-113 112 147 104 108
-114 101 148 105 109
-115 110 103 150 107
-116 111 102 149 106
-117 77 143 82 106
-118 144 80 84 108
-119 79 146 83 105
-120 78 145 81 107
-121 143 89 85 109
-122 110 144 90 86
-123 88 111 146 92
-124 112 145 91 87
-125 99 93 150 74
-126 147 73 96 97
-127 148 94 76 98
-128 100 149 95 75
-129 24 92 139 141
-130 90 27 139 142
-131 89 26 140 142
-132 25 91 140 141
-133 143 81 147 98
-134 99 144 82 148
-135 100 146 84 150
-136 145 83 149 97
-137 93 96 141 142
-138 94 95 139 140
-139 5 138 129 130
-140 132 3 138 131
-141 132 2 137 129
-142 4 137 130 131
-143 121 133 3 117
-144 122 134 4 118
-145 2 124 136 120
-146 123 135 5 119
-147 133 2 113 126
-148 134 3 114 127
-149 136 5 116 128
-150 135 4 125 115
0

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